λ
Prime Ledger

53,782

2 × 26891
Deficient Even Composite

53,782 has the prime decomposition 2 × 26891. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 26891
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 80,676
Proper Divisor Sum 26,894
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #53777 ← → #53783

Radix Representation

Decimal 53782
Binary 1101001000010110 (16 bits)
Octal 0o151026
Hexadecimal 0xD216

Divisor Catalog (4)

1 2 26,891 53,782

Collatz Trajectory (91 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344

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